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Finding the Fourth Proportional to 2,355.50, 3,533.48 and 624.13

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Solution

The fourth proportional to 2,355.50, 3,533.48 and 624.13 is: 936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.50 : 3,533.48 = 624.13 : x
  2. Step 2: Convert to fraction form
    2,355.50/3,533.48 = 624.13/x
  3. Step 3: Cross multiply
    2,355.50x = 3,533.48 × 624.13
  4. Step 4: Simplify right side
    2,355.50x = 2,205,350.87
  5. Step 5: Solve for x
    x = 2,205,350.87/2,355.50
  6. Step 6: Final answer
    x = 936.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.